What is the greatest number that, when it divides 1128, 1537 and 1834 leaves remainders 7, 3 and 5, respectively?
Given:
Numbers: 1128, 1537, 1834
Remainders: 7, 3, 5 respectively
Formula Used:
Required greatest number (N) = HCF of (1128 - 7, 1537 - 3, 1834 - 5)
Solution:
Subtract remainders from the numbers
1128 - 7 = 1121
1537 - 3 = 1534
1834 - 5 = 1829
HCF of 1121, 1534, and 1829
Prime factorization:
1121 = 59 × 19
1534 = 2 × 13 × 59
1829 = 31 × 59
=> The greatest number = 59
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HCF and LCM of two numbers are 3 and 18 respectively. If one of them is 9, find the other number.
What is the greatest number that, when it divides 1128, 1537 and 1834 leaves remainders 7, 3 and 5, respectively?
Surendra has 102 litres of Oil A and 224 litres of Oil B. He fills a number of identical containers with the two types of oil in a manner that each container has only one type of oil, and all containers are completely filled. What can be the maximum volume (in litres) of each container that Surendra uses, so that all the oil that Surendra has, of both the types, can be poured into these containers?